76996640 has 192 divisors, whose sum is σ = 224985600. Its totient is φ = 24837120.

The previous prime is 76996627. The next prime is 76996727. The reversal of 76996640 is 4669967.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1262210 + ... + 1262270.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^76996640 is an apocalyptic number.

76996640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

76996640 is an abundant number, since it is smaller than the sum of its proper divisors (147988960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76996640 is a wasteful number, since it uses less digits than its factorization.

76996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The square root of 76996640 is about 8774.7729315350. The cubic root of 76996640 is about 425.4258983184.

The spelling of 76996640 in words is "seventy-six million, nine hundred ninety-six thousand, six hundred forty".